The Model of the Relationship between Urban Rail Transit and Residential Location

Lin Zhang

doi:10.1155/2020/8851637

Abstract

In order to investigate the intrinsic relationship between residence choice and urban rail transit, this paper establishes a housing valuation model, explores the interface link between the rail transit and other transport modes by the establishment of a model, and also obtains the family transportation impedance. According to the balanced housing price, the various districts’ hedonic cost, and the generalized transportation impedance, the attractiveness of the various districts with respect to each mobile home is obtained. Satisfaction of any resident is received by establishing a close degree model. Due to the satisfaction and the price, we construct a largest consumer surplus model and then obtain the residence of the greatest consumer surplus for mobile home. Numerical example’s result indicates that all high-income mobile homes will chose the residence for the commute destination district, especially the one in the suburbs. Furthermore, the low-income families chose the residence for the commute destination district, which has the rail transit if the income is allowed, or the nearest district to the destination with rail transportation if not. This illustrates that whether a road having urban rail transit plays a significant impact only on the low-income family residence choice when the commuter routes pass through the road and almost has no influence for other families. Hence, it is shown that the reasonable urban planning is important and that urban rail transit should form a network that will play a key role.

Highlights

Noting that the large city pays much more attention to the scale of rail transit construction, it is meaningful to study the model of the inner relationship between the choice of residential location and the rail transit, which could provide quantitative methods to guide the orderly growth of the urban space and guarantee the relationship between urban space and urban traffic to be interaction and coordination
Anas et al [15,16,17] developed the mathematical programming model to discuss the congestion tolls in city. e authors divided the urban space into multiple zones and used the general equilibrium to evaluate the influence with and without the tolls policy. ey presented that a congestion toll would have an impact on labor supply and the productivity by changing the labor-leisure trade off
Murphy [18] has utilized linear programming to provide insights into the relationship between the location of commuting and housing. e results show that the pattern of relative location advantage has altered sharply for off-peak trip-making but has remained more or less the same for tripmaking in the peak period. e mathematical programming model is the combination of the space interaction model and the traffic distribution model and emphasizes the integration between transportation and land use

Summary

Housing Valuation Model

For any j ∈ Nk3t, Hkj is the set of houses ready to be rent or sold and belongs to homeowner j in the k-th district, and, for any m ∈ Hkj , the transaction price by which moving family i purchases the house m should satisfy pkjmt ≥ Vkjmt ,. Since the land price of district is positively proportional to the hedonic facilities completeness of the district and the traffic accessibility from the district to the center of city, we define Vk as follows: Vk V0hk − c0βuk,. At the period time of t, assume that there are a certain number of families in any district that hope to move their residence to another district for improvement on the overall effectiveness of family housing, environment, traffic conditions, and so on It means that each moving family wishes to buy an ideal residence.

Traffic Impedance

Hedonic Cost of the Family

Choice of Residence

Example